Luz V. Vela-Arevalo
Control and Dynamical Systems 107-81
Caltech, Pasadena, CA 91125-8100, USA
luzvela@cds.caltech.edu
Abstract:
A new method of frequency
analysis for Hamiltonian Systems is presented.
The method is based on the concept of
instantaneous frequency extracted from the continuous
wavelet transform of the trajectories. Knowing the time
evolution of the frequencies we can define a frequency
map, resonances, and diffusion in frequency space as
an indicator of chaos. The method is applied
to the Restricted Three Body Problem.